What is -5|x-9|>=-25 ?

The solution to -5|x-9|>=-25 is 4<= x<= 14

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-5|x-9|>=-25

- 5 ∣ x - 9 ∣ \geq - 25

4 \leq x \leq 14

Solution steps

- 5 ∣ x - 9 ∣ \geq - 25

Multiply both sides by

- 1

5 ∣ x - 9 ∣ \leq 25

Divide both sides by

5

∣ x - 9 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x - 9 \leq 5

x - 9 \geq - 5 and x - 9 \leq 5

x \geq 4 and x \leq 14

Merge Overlapping Intervals

4 \leq x \leq 14

lo g_{2} (2 - 5 x) > 1

x^{2} = 3.6

b + 15 = 17

\frac{18}{- 3}

2 x^{2} + (\frac{3}{5}) x + 30 = 0